Splash Screen. Over Chapter 3 5-Minute Check 1 A.consecutive interior angles B.corresponding angles C.complementary angles D.supplementary What is the.

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Presentation transcript:

Splash Screen

Over Chapter 3 5-Minute Check 1 A.consecutive interior angles B.corresponding angles C.complementary angles D.supplementary What is the special name given to the pair of angles shown by  2 and  6?

Over Chapter 3 5-Minute Check 2 A.118 B.108 C.62 D.52 Find m  3.

Over Chapter 3 5-Minute Check 3 A.118 B.108 C.72 D.62 Find m  4.

Over Chapter 3 5-Minute Check 4 Find the slope of the line that contains the points at (4, 4) and (2, –5). A. B. C. D.

Over Chapter 3 5-Minute Check 5 A. B. C. D.

CCSS Content Standards G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Mathematical Practices 2 Reason abstractly and quantitatively. 6 Attend to precision.

Then/Now You measured and classified angles. Identify and classify triangles by angle measures. Identify and classify triangles by side measures.

Vocabulary acute triangle equiangular triangle obtuse triangle right triangle equilateral triangle isosceles triangle scalene triangle

Concept

Example 1A Classify Triangles by Angles A. Classify the triangle as acute, equiangular, obtuse, or right.

Example 1B Classify Triangles by Angles B. Classify the triangle as acute, equiangular, obtuse, or right.

Example 1A A.acute B.equiangular C.obtuse D.right A. ARCHITECTURE The frame of this window design is made up of many triangles. Classify ΔACD.

Example 1B A.acute B.equiangular C.obtuse D.right B. ARCHITECTURE The frame of this window design is made up of many triangles. Classify ΔADE.

Example 2 Classify Triangles by Angles Within Figures Classify ΔXYZ as acute, equiangular, obtuse, or right. Explain your reasoning.

Example 2 A.acute B.equiangular C.obtuse D.right Classify ΔACD as acute, equiangular, obtuse, or right.

Example 3 Classify Triangles by Sides ARCHITECTURE The triangle truss shown is modeled for steel construction. Classify ΔJMN, ΔJKO, and ΔOLN as equilateral, isosceles, or scalene.

Example 3 A.isosceles B.equilateral C.scalene D.right ARCHITECTURE The frame of this window design is made up of many triangles. Classify ΔABC.

Example 4 Classify Triangles by Sides Within Figures If point Y is the midpoint of VX, and WY = 3.0 units, classify ΔVWY as equilateral, isosceles, or scalene. Explain your reasoning.

Example 4 A.equilateral B.isosceles C.scalene If point C is the midpoint of BD, classify ΔABC as equilateral, isosceles, or scalene.

Example 5 Finding Missing Values ALGEBRA Find the measures of the sides of isosceles triangle KLM with base KL. __

Example 5 ALGEBRA Find x and the measure of each side of equilateral triangle ABC if AB = 6x – 8, BC = 7 + x, and AC = 13 – x. A.x = 10; all sides are 3. B.x = 6; all sides are 13. C.x = 3; all sides are 10. D.x = 3; all sides are 16.